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Semilattice is an English word. Below you'll find 6 example sentences showing how it's used in practice.

Rare word

Semilattice in a sentence

Semilattice meaning

A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent.

Using Semilattice

  • The main meaning on this page is: A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent.
  • In the example corpus, semilattice often appears in combinations such as: complete semilattice, semilattice morphisms.

Context around Semilattice

  • Average sentence length in these examples: 20.3 words
  • Position in the sentence: 0 start, 5 middle, 1 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often before:

meet 2× complete 2× join 1×

Often after:

morphisms 2×

Sentence patterns with Semilattice

These short patterns come directly from the example sentences and show how the word is often embedded:

a meet semilattice that is 1× by this semilattice 1× complete join semilattice as another 1× complete meet semilattice or complete 1× of complete semilattice morphisms can 1× to a semilattice each inverse 1× with complete semilattice morphisms boils 1×

Sentence openings and endings

Common sentence openings:

as a consequence 1× as mentioned becomes 1× given a homomorphism 1× hence considering complete 1× this concept is 1×

Common sentence endings:

by this semilattice 1× connections as morphisms 1× in general terms 1× may be missing 1× possibly empty semigroup 1× to complete lattices 1×

Words around Semilattice

Just before it in the word index:

semikhah 2 semigroups 6 semigroup 30 semigraphics 6 semigallians 2 semifinals 698

Just after it in the word index:

semiliquid 2 semilla 6 semilunar 5 semimagic 2 semimajor 3 semimembranosus 2

Similar in corpus frequency:

aaas 8 aacc 8 aacs 8 aafes 8 aankh 8 aapp 8

Corpus analysis for Semilattice

  • In this selection, "semilattice" usually appears in the middle of the sentence. The average example has 20.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, meet, complete, join and morphisms stand out and add context to how "semilattice" is used.
  • Recognizable usage signals include a meet semilattice that is and by this semilattice. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "semilattice" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with semilattice

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

As mentioned, becomes graded by this semilattice. (7 words)

Hence, considering complete lattices with complete semilattice morphisms boils down to considering Galois connections as morphisms. (16 words)

Given a homomorphism from an arbitrary semigroup to a semilattice, each inverse image is a (possibly empty) semigroup. (18 words)

Longer example sentences

On the other hand, some authors have no use for this distinction of morphisms (especially since the emerging concepts of "complete semilattice morphisms" can as well be specified in general terms). (31 words)

This concept is arguably the "most complete" notion of a meet-semilattice that is not yet a lattice (in fact, only the top element may be missing). (27 words)

As a consequence, some authors use the terms complete meet-semilattice or complete join-semilattice as another way to refer to complete lattices. (23 words)

Example sentences (6)

As a consequence, some authors use the terms complete meet-semilattice or complete join-semilattice as another way to refer to complete lattices.

As mentioned, becomes graded by this semilattice.

Given a homomorphism from an arbitrary semigroup to a semilattice, each inverse image is a (possibly empty) semigroup.

Hence, considering complete lattices with complete semilattice morphisms boils down to considering Galois connections as morphisms.

On the other hand, some authors have no use for this distinction of morphisms (especially since the emerging concepts of "complete semilattice morphisms" can as well be specified in general terms).

This concept is arguably the "most complete" notion of a meet-semilattice that is not yet a lattice (in fact, only the top element may be missing).

Common combinations with semilattice

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "semilattice" in a sentence?
An example: "As a consequence, some authors use the terms complete meet-semilattice or complete join-semilattice as another way to refer to complete lattices." This page contains 6 example sentences with the word "semilattice" from authentic English texts.
What does "semilattice" mean?
Semilattice means: A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent.
How many example sentences with "semilattice" are there?
Voorbeeldzinnen.info contains 6 example sentences with "semilattice", drawn from a database of millions of English sentences.